Home / 216,854-469,909

Finding the Third Proportional to 216,854 and 469,909

Calculator

Solution

The third proportional to 216,854 and 469,909 is: 1,018,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,854 : 469,909 = 469,909 : x
  2. Step 2: Convert to fraction form
    216,854/469,909 = 469,909/x
  3. Step 3: Cross multiply
    216,854x = 469,909 × 469,909
  4. Step 4: Simplify right side
    216,854x = 220,814,468,281
  5. Step 5: Solve for x
    x = 220,814,468,281/216,854
  6. Step 6: Final answer
    x = 1,018,263.29

Related Problems

Find third proportional to 108,427 and 234,954.50
Half scale
Find third proportional to 433,708 and 939,818
Double scale
Find third proportional to 216,856 and 469,913
Similar ratio
Find third proportional to 325,281 and 704,863.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.